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what is an expression taht represents the area of the rectangle room? how can the expression be rewrite as an polynomial in standard form?

what is an expression taht represents the area of the rectangle room how can the expression be rewrite as an polynomial in standard form class=

Respuesta :

Answer:

• (4x-1)(3x+6)

,

• 12x²+21x-6

Explanation:

From the diagram

Width of the rectangular room = 3x+6

Length of the rectangular room = 4x-1

Area of a rectangle = Lenght x Width

So, an expression that represents the area of the rectangular room is:

[tex]A=\mleft(4x-1\mright)(3x+6)[/tex]

To rewrite the expression as a polynomial in standard form, we expand:

[tex]\begin{gathered} A=4x(3x+6)-1(3x+6) \\ =12x^2+24x-3x-6 \\ =12x^2+21x-6 \end{gathered}[/tex]

The polynomial in standard form is: 12x²+21x-6

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